A random sample of customer order totals with an average of $68.75 and a population standard deviation of 16.50. a) Calculate a 96% confidence interval for the mean, given a sample size of 35 orders....

A random sample of customer order totals with an average of $68.75 and a population
standard deviation of 16.50.
a) Calculate a 96% confidence interval for the mean, given a sample size of 35 orders.
b) Calculate a 96% confidence interval for the mean, given a sample size of 70 orders.
c) Explain the difference in the 96% confidence intervals calculated in parts (a) and (b).
d) Calculate the minimum sample size needed to identify a 96% confidence interval for the
mean, assuming a $3.00 margin of error.